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# Bibliography

Grand Logic 1893. Chapter XVII. The Logic of Quantity

## Htabs

Type:

Manuscript

Title:

Grand Logic 1893. Chapter XVII. The Logic of Quantity

Id:

MS [R] 423

Year:

1893

Description:

Book III. Quantitative Logic. Chapter XVII. The Logic of Quantity

A. MS, G-1893-5, pp. 1-124 (pp. 2, 102-103 missing); plus a complete and corrected copy of 125 pp., neither the copy nor the corrections in CSP’s hand.

Published, in part, as 4.85-152 (pp. 1-125, with omissions and with a marginal note).

Published in:

Language:

English

Peirce, C. S. (1893).

*Grand Logic 1893. Chapter XVII. The Logic of Quantity*. MS [R] 423.The entry in BibTeX format.

author = "Charles S. Peirce",

title = "{Grand Logic 1893. Chapter XVII. The Logic of Quantity. MS [R] 423}",

year = 1893,

abstract = "{Book III. Quantitative Logic. Chapter XVII. The Logic of Quantity A. MS, G-1893-5, pp. 1-124 (pp. 2, 102-103 missing); plus a complete and corrected copy of 125 pp., neither the copy nor the corrections in CSP’s hand. Published, in part, as 4.85-152 (pp. 1-125, with omissions and with a marginal note). }",

language = "English",

note = "From the Commens Bibliography | \url{http://www.commens.org/bibliography/manuscript/peirce-charles-s-1893-grand-logic-1893-chapter-xvii-logic-quantity-ms-r-423}"

}

title = "{Grand Logic 1893. Chapter XVII. The Logic of Quantity. MS [R] 423}",

year = 1893,

abstract = "{Book III. Quantitative Logic. Chapter XVII. The Logic of Quantity A. MS, G-1893-5, pp. 1-124 (pp. 2, 102-103 missing); plus a complete and corrected copy of 125 pp., neither the copy nor the corrections in CSP’s hand. Published, in part, as 4.85-152 (pp. 1-125, with omissions and with a marginal note). }",

language = "English",

note = "From the Commens Bibliography | \url{http://www.commens.org/bibliography/manuscript/peirce-charles-s-1893-grand-logic-1893-chapter-xvii-logic-quantity-ms-r-423}"

}

Commens Dictionary entries from ‘Grand Logic 1893. Chapter XVII. The Logic of Quantity’

1893 | MS [R] 423:57-59, CP 4.121-2
Let us now consider what is meant by saying that a line, for example, is continuous. The multitude of points, or limiting values of approximations upon it, is of course innumerable. But that does not make it continuous. Kant defined its continuity as consisting in this, that between any two points upon it there are points. This is true, but manifestly insufficient, since it holds of the series of rational fractions, the multitude of which is only dinumerable. Indeed, Kant’s definition applies if from such a series any two, together with all that are intermediate, be cut away; although in that case a finite gap is made. I have termed the property of infinite intermediety, or divisibility, the and Then the property of Kanticity consists in this: To complete the definition of a continuum, the a’s, we require the following property. Namely, if there be a class of b’s included among the a’s but all inferior to a certain a, that is, if and if further there be for each b another next superior to it; that is, then there is an a next superior to all the b’s. That is, I call this the |

1893 | MS [R] 423:57, CP 4.121
I have termed the property of infinite intermediety, or divisibility, the |